Stability and free vibration analysis of tapered sandwich columns with functionally graded core and flexible connections

Rezaiee‐Pajand, Mohammad; Mokhtari, Mohamed; Masoodi, Amir R.

doi:10.1007/s13272-018-0311-6

Cited by 22 publications

(11 citation statements)

References 44 publications

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“…According to Figs. 11 and 12, it is obvious that the structure buckled at the point (1). The value of load at this point is almost equal to 2219.058 N and 589.599 N for the shallow panel with thicknesses of 12.7 and 6.35 mm.…”

Section: Shallow Panel Under Central Point Loadmentioning

confidence: 91%

“…It should be added that r, s and t are the local coordinates on which the formulation of element is based. Using relation (1) for two steps of analysis such as t and t + Δt, the following equation can be achieved for incremental displacement of an element at each node.…”

Section: Finite Element Proceduresmentioning

confidence: 99%

“…Most of them were based on the analytical solution. So a closed-form solution was available to reach the buckling load [1][2][3]. One of the old experimental investigations about the cylindrical shell buckling was performed by Babcock.…”

Section: Introductionmentioning

confidence: 99%

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Shell instability analysis by using mixed interpolation

Rezaiee‐Pajand

Masoodi

2019

J Braz. Soc. Mech. Sci. Eng.

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In this paper, buckling and post-buckling behavior of plates and shells are investigated. An efficient triangular shell element having six nodes is employed in this study. To consider large deflection and rotation, total Lagrangian formulation is utilized. The authors employ mixed interpolation for strain fields to deviate shear and membrane locking phenomena. The effects of different types of boundary conditions and geometry properties of plates and shells are studied. An almost complete literature review is also provided to show the progress of researches about the current topics. Various states of buckling including bifurcation and snap-through are assessed in different problems. In this study, the popular benchmarks of shell structures are analyzed to show the accuracy and capability of element. In addition, some new benchmarks which can be used by other researchers are also introduced and solved. Further, a comparison study between the proposed element and NLDKGQ element in OpenSees software is implemented for some complex curved shell structures.

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Section: Shallow Panel Under Central Point Loadmentioning

confidence: 91%

Section: Finite Element Proceduresmentioning

confidence: 99%

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Shell instability analysis by using mixed interpolation

Rezaiee‐Pajand

Masoodi

2019

J Braz. Soc. Mech. Sci. Eng.

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“…Elastic/mechanical/acoustic metamaterial structures [ 1 , 2 , 3 ], generally composed of periodically arranged substructures in the form of sandwich structures [ 4 , 5 , 6 ], have special mechanical properties. It is a research hotspot in the fields of mechanics, materials, physics and engineering in recent years [ 7 , 8 , 9 , 10 ].…”

Section: Introductionmentioning

confidence: 99%

A Finite/Spectral Element Hybrid Method for Modeling and Band-Gap Characterization of Metamaterial Sandwich Plates

Linzhongyang

et al. 2023

Materials

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In this study, elastic metamaterial sandwich plates with axially deformed Timoshenko beam cores, considering both the out-of-plane and in-plane deformations of the face plates, are designed and the vibration band-gap properties are explored. The beam cores act as local resonators that can bear axial force, bending moment and shearing force. The finite element method (FEM) and the spectral element method (SEM) are combined to create the finite/spectral element hybrid method (FE-SEHM) for establishing the dynamic model and calculating the frequency response functions (FRFs) of the elastic metamaterial sandwich plate with axially deformed beam cores. It is observed that the metamaterial sandwich plate possesses both the axial and transverse vibration band-gaps of the beams, and the two kinds of band-gaps are independent. Compared with the metamaterial sandwich plates with rod cores, those with axially deformed beam cores have more extensive application ranges for vibration reduction.

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“…Some new research studies were numerically and experimentally studied the nonlinear behavior of composite plate and shells (Pradyumna and Nanda, 2013;Sossou, 2012;Rezaiee-Pajand et al, 2018b;Tornabene and Reddy, 2013;Mallek et al, 2019a;Mallek et al, 2019b). After proposing FGMs, many articles were presented to investigate different static and dynamic behaviors of structures composed of this type of materials (Rezaiee-Pajand and Rezaiee-Pajand et al, 2018d;Tornabene and Viola, 2013;Tornabene, 2009;Viola and Tornabene, 2009;Mellouli et al, 2019). Among them, functionally graded materials (FGMs) has been more interesting for the researchers.…”

Section: Introductionmentioning

confidence: 99%

Analyzing FG shells with large deformations and finite rotations

Rezaiee‐Pajand

Masoodi

2019

WJE

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Purpose The purpose of this study is dedicated to use an efficient mixed strain finite element approach to develop a three-node triangular shell element. Moreover, large deformation analysis of the functionally graded material shells is the main contribution of this research. These target structures include thin or moderately thick panels. Design/methodology/approach Due to reach these goals, Green–Lagrange strain formulation with respect to small strains and large deformations with finite rotations is used. First, an efficient three-node triangular degenerated shell element is formulated using tensorial components of two-dimensional shell theory. Then, the variation of Young’s modulus through the thickness of shell is formulated by using power function. Note that the change of Poisson’s ratio is ignored. Finally, the governing linearized incremental relation was iteratively solved using a high potential nonlinear solution method entitled generalized displacement control. Findings Some well-known problems are solved to validate the proposed formulations. The suggested triangular shell element can obtain the exact responses of functionally graded (FG) shell structures, without any shear locking, instabilities and ill-conditioning, even by using fewer numbers of the elements. The obtained outcomes are compared with the other reference solutions. All findings demonstrate the accuracy and capability of authors’ element for analyzing FG shell structures. Research limitations/implications A mixed strain finite element approach is used for nonlinear analysis of FG shells. These structures are curved thin and moderately thick shells. Small strains and large deformations with finite rotations are assumed. Practical implications FG shells are mostly made curved thin or moderately thick, and these structures have a lot of applications in the civil and mechanical engineering. Social implications The social implication of this study is concerned with how technology impacts the world. In short, the presented scheme can improve structural analysis ways. Originality/value Developing an efficient three-node triangular element, for geometrically nonlinear analysis of FG doubly-curved thin and moderately thick shells, is the main contribution of the current research. Finite rotations are considered by using the Taylor’s expansion of the rotation matrix. Mixed interpolation of strain fields is used to alleviate the locking phenomena. Using fewer numbers of shell elements with fewer numbers of degrees of freedom can reduce the computational costs and errors significantly.

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Stability and free vibration analysis of tapered sandwich columns with functionally graded core and flexible connections

Cited by 22 publications

References 44 publications

Shell instability analysis by using mixed interpolation

Shell instability analysis by using mixed interpolation

A Finite/Spectral Element Hybrid Method for Modeling and Band-Gap Characterization of Metamaterial Sandwich Plates

Analyzing FG shells with large deformations and finite rotations

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